56. If an object is to rest on an incline without slipping, then friction must equal the component of the weight of the object parallel to the incline. This requires greater and greater friction for steeper slopes. Show that the maximum angle of an incline above the horizontal for which an object will not slide down is e = tan-1 µs. You may use the result of O and the previous problem. Assume that a = 0 and that static friction has reached its maximum value.

56. If an object is to rest on an incline without slipping, then friction must equal the component of the weight of the object parallel to the incline. This requires greater and greater friction for steeper slopes. Show that the maximum angle of an incline above the horizontal for which an object will not slide down is e = tan-1 µs. You may use the result of O and the previous problem. Assume that a = 0 and that static friction has reached its maximum value.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter5: Further Applications Of Newton's Laws: Friction, Drag, And Elasticity

Section: Chapter Questions

Problem 9PE: Show that the acceleration of any object down an incline where friction behaves simply (that is,...

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